Stable hypersurfaces of Minkowski spaces

Abstract

Let Mn be a complete stable strongly minimal hypersurface of a Minkowski space V¯n+1. In this paper, we prove that if ∫SM|B|2dVSM<∞, where |B|2 is the norm square of the second fundamental form of M, then M is a locally Minkowski space which was obtained by do Carmo and Peng (1980) [1] for the Riemannian case.